HELP PLEASE! 50 POINTS, BRAINLIEST AND 5 RATE FOR WHOEVER ANSWERS FIRST! In the 2006 Winter Olympics in Torino, Italy, Russia won 7 fewer medals than Germany. The two countries won a total of 51 medals. How many medals did each country win?

Russia won 22 medals. Germany won 29 medals.

Step-by-step explanation:

Let's let R denote the amount of medals Russia won and G denote the amount of medals Germany won.

We know that Russia won 7 fewer medals than Germany. In other words, however many medals Germany won, we subtract 7 to get the amount Russia won. In an equation, this is:

We also know that the two countries won a total of 51 medals. So:

This is a system of equations. We can solve by substitution.

Let's substitute our first equation into the second. This yields:

Combine like terms:

Let's add 7 to both sides. The left side cancels:

Divide both sides by 2:

So, Germany won 29 medals.

Since Russia won 7 fewer medals, Russia won 29 - 7 or 22 medals.

And we're done!

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step-by-step explanation: